EVOLUTIONARY PROBLEMS IN NON-REFLEXIVE SPACES

被引:3
|
作者
Kruzik, Martin [1 ]
Zimmer, Johannes [2 ]
机构
[1] Czech Tech Univ, Fac Civil Engn, Prague 16629 6, Czech Republic
[2] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
基金
英国工程与自然科学研究理事会;
关键词
Concentrations; energetic solution; energies with linear growth; oscillations; relaxation; OSCILLATIONS; BEHAVIOR; MODELS;
D O I
10.1051/cocv:2008060
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Rate-independent problems are considered, where the stored energy density is a function of the gradient. The stored energy density may not be quasiconvex and is assumed to grow linearly. Moreover, arbitrary behaviour at infinity is allowed. In particular, the stored energy density is not required to coincide at infinity with a positively 1-homogeneous function. The existence of a rate-independent process is shown in the so-called energetic formulation.
引用
收藏
页码:1 / 22
页数:22
相关论文
共 50 条
  • [1] EQUIVALENT NORMS ON NON-REFLEXIVE SPACES
    GODUN, BV
    [J]. DOKLADY AKADEMII NAUK SSSR, 1977, 236 (01): : 18 - 20
  • [2] The Banach spaces ΛBV are non-reflexive
    Prus-Wisniowski, Franciszek
    Ruckle, William H.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (02) : 1394 - 1396
  • [3] SOLVABILITY OF SOME NONLINEAR PROBLEMS IN NON-REFLEXIVE BANACH-SPACES
    SOLTANOV, KN
    [J]. IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1978, (02): : 37 - 42
  • [4] EXISTENCE AND UNIT OF SOLUTIONS FOR COERCIVE NEUMANN PROBLEMS IN NON-REFLEXIVE SPACES
    TEMAM, R
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 273 (14): : 609 - &
  • [5] QUASILINEAR ELLIPTIC PROBLEMS ON NON-REFLEXIVE ORLICZ-SOBOLEV SPACES
    Silva, Edcarlos D.
    Carvalho, Marcos L. M.
    Silva, Kaye
    Goncalves, Jose, V
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (02) : 587 - 612
  • [6] NON-REFLEXIVE SPACES OF TYPE-2
    JAMES, RC
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 1978, 30 (1-2) : 1 - 13
  • [7] NEW EXAMPLES OF NON-REFLEXIVE GROTHENDIECK SPACES
    Li, Yongjin
    Bu, Qingying
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2017, 43 (02): : 569 - 575
  • [8] Toeplitz operators on non-reflexive Fock spaces
    Fulsche, Robert
    [J]. REVISTA MATEMATICA IBEROAMERICANA, 2024, 40 (03) : 1115 - 1148
  • [9] Abstract hyperbolic equations in non-reflexive spaces
    Sinestrari, E
    [J]. EVOLUTION EQUATIONS, SEMIGROUPS AND FUNCTIONAL ANALYSIS: IN MEMORY OF BRUNELLO TERRENI, 2002, 50 : 339 - 351
  • [10] SOME GEOMETRIC PROPERTIES OF NON-REFLEXIVE SPACES
    MILMAN, DP
    MILMAN, VD
    [J]. DOKLADY AKADEMII NAUK SSSR, 1963, 152 (01): : 52 - &